100142100 has 54 divisors (see below), whose sum is σ = 313892670. Its totient is φ = 26704320.

The previous prime is 100142089. The next prime is 100142113. The reversal of 100142100 is 1241001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1179396 + 98962704 = 1086^2 + 9948^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54735 + ... + 56534.

Almost surely, 2^100142100 is an apocalyptic number.

100142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100142100 is an abundant number, since it is smaller than the sum of its proper divisors (213750570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100142100 is a wasteful number, since it uses less digits than its factorization.

100142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111289 (or 111279 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100142100 is about 10007.1024777405. The cubic root of 100142100 is about 464.3786358958.

Adding to 100142100 its reverse (1241001), we get a palindrome (101383101).

The spelling of 100142100 in words is "one hundred million, one hundred forty-two thousand, one hundred".